state.hpp

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// toolboxes/control/include/nk/control/state/state.hpp
//
// State-space structural primitives: controllability and
// observability matrices, plus rank-based "is" predicates.
 
#pragma once
 
#include <memory_resource>
#include <nk/value/value.hpp>
 
namespace nk::control {

 

Value ctrb_AB(const Value &A, const Value &B,
              std::pmr::memory_resource *mr = nullptr);

Value ctrb_sys(const Value &sys, std::pmr::memory_resource *mr = nullptr);

Value obsv_AC(const Value &A, const Value &C,
              std::pmr::memory_resource *mr = nullptr);

Value obsv_sys(const Value &sys, std::pmr::memory_resource *mr = nullptr);

Value gram(const Value &sys, const std::string &type,
           std::pmr::memory_resource *mr = nullptr);

struct CovarResult {
    Value P;   
    Value Q;   
};

CovarResult covar(const Value &sys, const Value &W,
                  std::pmr::memory_resource *mr = nullptr);
 

} // namespace nk::control