deimos_numerics 0.17.0

Numerical methods and control systems analysis
Documentation

deimos_numerics

Numerical methods and control systems analysis.

Feature Status

Feature area Sparse Dense Continuous Discrete no-std no-alloc wasm
Linear solves ✅ ✅ n/a n/a ✅ n/a ✅
Matrix decompositions 💡 ✅ n/a n/a ✅ n/a ✅
Matrix equations n/a ✅ ✅ ✅ ✅ n/a ✅
LTI models and analysis n/a ✅ ✅ ✅ ✅ n/a ✅
Filter design n/a ✅ ✅ ✅ ✅ n/a ✅
Control synthesis n/a ✅ ✅ ✅ ✅ n/a ✅
Estimation n/a ✅ n/a ✅ ✅ n/a ✅
Embedded fixed runtime n/a ✅ n/a ✅ ✅ ✅ ✅
Identification and realization n/a ✅ n/a ✅ ✅ n/a ✅
Model reduction n/a ✅ ✅ 💡 ✅ n/a ✅

Numerical Methods

Linear solves

Feature Sparse Dense Continuous Discrete no-std no-alloc wasm
LU factorization ✅ ✅ n/a n/a ✅ n/a ✅
Iterative refinement ✅ n/a n/a n/a ✅ n/a ✅
Cholesky / LDLT ✅ ✅ n/a n/a ✅ n/a ✅
BiCGSTAB ✅ n/a n/a n/a ✅ n/a ✅
Equilibration ✅ 💡 n/a n/a ✅ n/a ✅
Preconditioners ✅ n/a n/a n/a ✅ n/a ✅
Schur-complement operators ✅ n/a n/a n/a ✅ n/a ✅

Matrix decompositions

Feature Sparse Dense Continuous Discrete no-std no-alloc wasm
Eigenvalues and eigenvectors ✅ ✅ n/a n/a ✅ n/a ✅
Self-adjoint eigen decomposition ✅ ✅ n/a n/a ✅ n/a ✅
Generalized eigen decomposition 💡 ✅ n/a n/a ✅ n/a ✅
Singular value decomposition ✅ ✅ n/a n/a ✅ n/a ✅
Matrix-free operator adapters ✅ n/a n/a n/a ✅ n/a ✅
Convergence diagnostics ✅ ✅ n/a n/a ✅ n/a ✅

Control Systems & Digital Signal Processing

Embedded fixed runtime

Feature Sparse Dense Continuous Discrete no-std no-alloc wasm
Fixed-size matrix / vector storage n/a ✅ n/a ✅ ✅ ✅ ✅
Fixed discrete state-space runtime n/a ✅ n/a ✅ ✅ ✅ ✅
Fixed FIR runtime n/a ✅ n/a ✅ ✅ ✅ ✅
Fixed delta-SOS runtime n/a ✅ n/a ✅ ✅ ✅ ✅
Fixed PID runtime n/a ✅ n/a ✅ ✅ ✅ ✅
Fractional-delay FIR taps n/a ✅ n/a ✅ ✅ ✅ ✅
Fixed discrete Kalman filter n/a ✅ n/a ✅ ✅ ✅ ✅
Fixed steady-state Kalman filter n/a ✅ n/a ✅ ✅ ✅ ✅

Matrix equations

Feature Sparse Dense Continuous Discrete no-std no-alloc wasm
Lyapunov solve ✅ ✅ ✅ n/a ✅ n/a ✅
Stein solve ✅ ✅ n/a ✅ ✅ n/a ✅
Controllability Gramians ✅ ✅ ✅ ✅ ✅ n/a ✅
Observability Gramians ✅ ✅ ✅ ✅ ✅ n/a ✅
Algebraic Riccati equations 💡 ✅ ✅ ✅ ✅ n/a ✅

LTI models and analysis

Feature Sparse Dense Continuous Discrete no-std no-alloc wasm
State-space models ✅ ✅ ✅ ✅ ✅ n/a ✅
Transfer functions n/a ✅ ✅ ✅ ✅ n/a ✅
Zero-pole-gain models n/a ✅ ✅ ✅ ✅ n/a ✅
Second-order sections n/a ✅ ✅ ✅ ✅ n/a ✅
FIR models n/a ✅ n/a ✅ ✅ n/a ✅
Pole and stability analysis ✅ ✅ ✅ ✅ ✅ n/a ✅
Frequency-response data ✅ ✅ ✅ ✅ ✅ n/a ✅
Step, impulse, and simulation data 💡 ✅ ✅ ✅ ✅ n/a ✅
Loop margins / Nyquist / Nichols n/a ✅ ✅ ✅ ✅ n/a ✅
Root locus n/a ✅ ✅ ✅ ✅ n/a ✅
Explicit process models n/a ✅ ✅ 💡 ✅ n/a ✅

Filter design

Feature Sparse Dense Continuous Discrete no-std no-alloc wasm
Butterworth IIR design n/a ✅ ✅ ✅ ✅ n/a ✅
Chebyshev I IIR design n/a ✅ ✅ ✅ ✅ n/a ✅
Bessel IIR design n/a ✅ ✅ n/a ✅ n/a ✅
Lowpass / highpass transforms n/a ✅ ✅ ✅ ✅ n/a ✅
Bandpass / bandstop transforms n/a ✅ ✅ ✅ ✅ n/a ✅
Minimum-order selection n/a ✅ ✅ ✅ ✅ n/a ✅
SOS output n/a ✅ ✅ ✅ ✅ n/a ✅
Transfer-function output n/a ✅ ✅ ✅ ✅ n/a ✅
Savitzky-Golay FIR design n/a ✅ n/a ✅ ✅ n/a ✅
Delta-SOS runtime form n/a ✅ n/a ✅ ✅ n/a ✅

Control synthesis

Feature Sparse Dense Continuous Discrete no-std no-alloc wasm
LQR / DLQR n/a ✅ ✅ ✅ ✅ n/a ✅
LQG / DLQG n/a ✅ ✅ ✅ ✅ n/a ✅
Pole placement n/a ✅ ✅ ✅ ✅ n/a ✅
PID runtime n/a ✅ n/a ✅ ✅ n/a ✅
Frequency-domain PID design n/a ✅ ✅ ✅ ✅ n/a ✅
Process-model PID design n/a ✅ ✅ n/a ✅ n/a ✅
Step-response PID design n/a ✅ n/a ✅ ✅ n/a ✅
OKID / ERA PID design n/a ✅ n/a ✅ ✅ n/a ✅

Estimation

Feature Sparse Dense Continuous Discrete no-std no-alloc wasm
LQE / DLQE design n/a ✅ ✅ ✅ ✅ n/a ✅
Fixed-gain observer runtime n/a ✅ ✅ ✅ ✅ n/a ✅
Time-varying Kalman filter n/a ✅ n/a ✅ ✅ n/a ✅
Steady-state Kalman filter n/a ✅ n/a ✅ ✅ n/a ✅
EKF runtime n/a ✅ n/a ✅ ✅ n/a ✅
UKF runtime n/a ✅ n/a ✅ ✅ n/a ✅

Identification and realization

Feature Sparse Dense Continuous Discrete no-std no-alloc wasm
Markov sequences n/a ✅ n/a ✅ ✅ n/a ✅
Block-Hankel assembly n/a ✅ n/a ✅ ✅ n/a ✅
Shifted Hankel pairs n/a ✅ n/a ✅ ✅ n/a ✅
ERA from Markov data n/a ✅ n/a ✅ ✅ n/a ✅
ERA from shifted Hankel data n/a ✅ n/a ✅ ✅ n/a ✅
OKID from sampled I/O data n/a ✅ n/a ✅ ✅ n/a ✅

Model reduction

Feature Sparse Dense Continuous Discrete no-std no-alloc wasm
HSVD from dense Gramians n/a ✅ ✅ ✅ ✅ n/a ✅
HSVD from low-rank factors ✅ ✅ ✅ ✅ ✅ n/a ✅
Balanced realization n/a ✅ ✅ ✅ ✅ n/a ✅
Balanced truncation ✅ ✅ ✅ ✅ ✅ n/a ✅
Reduced-order diagnostics ✅ ✅ ✅ ✅ ✅ n/a ✅

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