optimal control in javascript

index.tsx
// Define the objective or cost function
function costFunction(state, action) {
  // Calculate the cost based on the state and action
  // Return the cost
}

// Define the dynamic programming function
function dynamicProgramming() {
  // Initialize the dynamic programming table
  let dp = new Array(n);

  // Determine the base case
  // (typically the final state with zero cost)

  // Iterate over the states in reverse order
  for (let i = n - 1; i >= 0; i--) {
    // Iterate over the possible actions
    for (let action of possibleActions) {
      // Calculate the cost for the current state and action
      let cost = costFunction(states[i], action);

      // Calculate the value of the next state
      let nextStateValue = dp[i + 1];

      // Update the dynamic programming table with the optimal cost
      dp[i] = Math.min(dp[i], cost + nextStateValue);
    }
  }

  // Return the optimal cost
  return dp[0];
}

// Run the dynamic programming function
let optimalCost = dynamicProgramming();
console.log(optimalCost);
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