Examples
Examples
Try the starting example
- Continuous state matrix A
- [[-1,1],[0,-2]]
- Continuous input matrix B
- [[1],[0]]
- Sample interval (seconds)
- 0.1
- Zero-order-hold discrete A (JSON)
- [[0.904837418036,0.086106664958],[0,0.818730753078]]
- Zero-order-hold discrete B (JSON)
- [[0.095162581964],[0]]
Try another scenario
- Continuous state matrix A
- [[0,1],[0,-2]]
- Continuous input matrix B
- [[1],[0]]
- Sample interval (seconds)
- 0.1
- Zero-order-hold discrete A (JSON)
- [[1,0.090634623461],[0,0.818730753078]]
- Zero-order-hold discrete B (JSON)
- [[0.1],[0]]
Calculation method
Calculation method
Zero-order-hold discrete A (JSON)
Zero-order hold via exponential of augmented block [[A,B],[0,0]]×sample time; works with singular A.
Zero-order-hold discrete B (JSON)
Zero-order hold via exponential of augmented block [[A,B],[0,0]]×sample time; works with singular A.
Symbols and units
- a
- Continuous state matrix A
- b
- Continuous input matrix B
- c
- Sample interval (seconds)
Use the units shown. A list keeps the order in which you enter its values. The symbol ^ means “raised to the power of”.
Assumptions & limits
Assumptions & limits
- User-supplied measurements and assumptions; Zero-order hold via exponential of augmented block [[A,B],[0,0]]×sample time; works with singular A. Supported limits: Finite numeric values bounded to 1e9 magnitude; lists and tables contain 1–100 records unless a stricter bound is stated. Inputs use the units shown. Lists explicitly paired by a method must have matching lengths; independent polynomial coefficient vectors may differ. Respect stated physical, interpolation, policy and computational domain limits.
Are these inputs private?
These calculations run in your browser. A shared link contains the values you choose to share. Only questions submitted to the separate AI finder are sent to OpenAI.
Further reading
Background reading; this does not imply endorsement or independent review of SumFizz.